Let's work through the problems in the image. Here’s a breakdown:

Problem 7

(a) Write two fractions that are equivalent.

• Possible answer: $\frac{1}{2}$ and $\frac{2}{4}$ are equivalent.

(b) Write two fractions between $0$ and $\frac{8}{16}$.

• Possible answer: $\frac{3}{16}$ and $\frac{7}{16}$.

Problem 8

Find four fractions between $0$ and $\frac{1}{2}$.

• Possible answer: $\frac{1}{8}$, $\frac{1}{5}$, $\frac{3}{10}$, and $\frac{7}{16}$.

Problem 9

The size $\frac{2}{3}$ is marked on a number line.

• Identify the values of $x$ and $y$.

Problem 10

The size $\frac{1}{5}$ is marked on a number line.

• Identify the values of $a$ and $b$.

Problem 11

The size $\frac{9}{10}$ is marked on a number line.

• Identify the values of $j$ and $k$.

Problem 12

The size $\frac{1}{6}$ is marked on a number line.

• Identify the values of $f$ and $h$.

Problem 13

The size $\frac{3}{4}$ is marked on a number line.

• Identify the values of $v$ and $t$.

Problem 14

(a) Draw a 10 cm number line and mark ticks every 0.5 cm.

• Draw a number line with ticks spaced at 0.5 cm intervals.

(b) Write $\frac{6}{10}$ as a fraction below each tick.

(c) Mark $\frac{7}{20}$ and $\frac{12}{20}$ on the number line.

Problem 15

Describe how full each gas tank is.

• First tank: Around $\frac{1}{4}$ full.
• Second tank: Around $\frac{1}{2}$ full.
• Third tank: Close to full, around $\frac{3}{4}$.

Let me know if you want more detailed solutions for each part or have any questions.

Related Questions for Further Understanding:

1. What are other examples of equivalent fractions for $\frac{1}{2}$?
2. How can you find fractions between any two given fractions?
3. How would you plot decimals between fractions on a number line?
4. How do you simplify fractions, and why is it useful?
5. What are practical examples of fractions in real life, like gas tank levels?

Tip: When comparing fractions, it helps to convert them to have a common denominator. This makes it easier to see which is larger or smaller.